Abstract
The present status of the calculation of the ( α π ) 3 term for the anomalous magnetic moment of the electron in QED is reviewed. Exact results for two sets of graphs contributing to this order are presented. An outline of the method used, which is based on a new invariant decomposition of the vertex amplitude and dispersion relations, is given. As a by-product of the techniques developed, the known contribution of the 6th order vertex ladder graph is recovered, and the contribution of the 8th order vertex ladder graph is also evaluated analytically.
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